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Finding the Third Proportional to 142,940 and 210,128

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Solution

The third proportional to 142,940 and 210,128 is: 308,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,940 : 210,128 = 210,128 : x
  2. Step 2: Convert to fraction form
    142,940/210,128 = 210,128/x
  3. Step 3: Cross multiply
    142,940x = 210,128 × 210,128
  4. Step 4: Simplify right side
    142,940x = 44,153,776,384
  5. Step 5: Solve for x
    x = 44,153,776,384/142,940
  6. Step 6: Final answer
    x = 308,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.